Fault detection in linear systems via interval parity relations

Abstract

The problem of fault detection via interval parity relations designed for systems described by linear models under the external disturbances and measurement noise is considered. To solve the problem, the reduced-order model of minimal dimension insensitive or having minimal sensitivity to the external disturbances is used. Based on this model, the interval parity relations are designed. The relations that allow to construct two residuals are obtained and theorem showing that zero is between these residuals for healthy system is proved. Theoretical results are illustrated by example.

Keywords:

• Linear systems
• discrete-time models
• disturbances
• fault detection
• interval parity relations

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. FZNS-2023-0011.

Notes on contributors

Alexey Zhirabok

Alexey Zhirabok is a professor in the Department of Automation and Robotics at the Far Eastern Federal University. His research interests address topics in system theory and fault diagnosis in complex technical systems.

Alexander Zuev

Alexander Zuev is a head of the Department of Control at the Institute of Marine Technology Problems. His research focuses on fault diagnosis and fault accommodation in complex technical systems.